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Finding the Fourth Proportional to 1,301,647.60, 1,950,397.80 and 965,724.40

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Solution

The fourth proportional to 1,301,647.60, 1,950,397.80 and 965,724.40 is: 1,447,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,647.60 : 1,950,397.80 = 965,724.40 : x
  2. Step 2: Convert to fraction form
    1,301,647.60/1,950,397.80 = 965,724.40/x
  3. Step 3: Cross multiply
    1,301,647.60x = 1,950,397.80 × 965,724.40
  4. Step 4: Simplify right side
    1,301,647.60x = 1,883,546,745,166.32
  5. Step 5: Solve for x
    x = 1,883,546,745,166.32/1,301,647.60
  6. Step 6: Final answer
    x = 1,447,048.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.